![]() ![]() Springer: Berlin/Heidelberg, Germany, 1989. Ein Gedankenmodell zur kinetischen Theorie der festen Körper. Stop Model with Input-Dependent Shape Function and Its Identification Methods. Eddy-current analysis using vector hysteresis models with play and stop hysterons. Springer: Berlin/Heidelberg, Germany, 2019 pp. In Motor Drive System and Magnetic Material Fujisaki, K., Ed. Magnetic Hysteresis Represented by Play Model. Models of magnetic hysteresis based on play and stop hysterons. A phenomenological differential-relation-based vector hysteresis model. Or expressed generally: any reversal curve will go from being of order n to the reversal curve of order n − 2 when B ( H ) return to point H n − 1, from a closed minor loop between H n − 1 and H n. This is not only valid for major loops, another equivalent case would be a third order reversal curve that continue as a FORC when it reaches the return point. This is because the minor loop is based on an internal triangle in the Preisach plane, and that this triangle disappear in the Preisach plane beyond the return point. When the internal minor loop is closed at H 1, it follow the major loop again. This is illustrated in Figure 27, where the curve first follows the major loop until a reversal point H 1, where it creates a inner minor loop between H 1 and H 2. With the name referring to the memory of the minor loop, and that the curve acts like the minor loop never existed. The wiping-out property means that the trajectory will follow a previous curve when an internal minor loop is closed. These include the play model, the stop model and also the alternative KP-hysteron model. More generally, it is shown that the many models can be expressed as Preisach models, showing that they can be treated as subcategories of the Preisach type models. The models share several mathematical properties, such as the congruency property and wiping-out property, and both models have a history of dependence that can be described by the series of past reversal points. This type of model has advantages for expressions linked to energy and can be related to Steinmetz equation of hysteresis losses. Yet another hysteresis model is the stop model, which can be seen as the inverted version of the play model. ![]() They are poor at modeling other domain behavior, such as nucleation-driven hysteresis. The models are mostly seen as phenomenological or mathematical tools but can also be related to friction-like pinning of domain-wall motions, where Rayleigh’s law of magnetic hysteresis can be seen as the simplest case on either the play model or the Preisach model. They are described as discrete sums of simple hysteresis operators but can easily be reformulated as integral equations of continuous distribution functions using either a Preisach weight distribution function or a play distribution function. Both are history-dependent hysteresis models that are used to model magnetic hysteresis. This paper studies the properties of the Preisach model and the play model, and compare their similarities.
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